RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots (Updated For 2021-22)

RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots

RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots: Be it your Class 8 Maths assignments or the tests, RS Aggarwal Solutions Class 8 Maths has got you covered. You can find credible and accurate solutions of RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots designed by the subject matter experts. All the solutions are designed as pe the current CBSE Syllabus.

You can download the RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots Free PDF from the download link given in the blog. To know more, read the whole blog.

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RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots

 


RS Aggarwal Solutions Class 8 Maths Chapter 3 Squares And Square Roots – Overview

  • Definitions

The value generated by multiplying the number by itself is called the Square of a number.

The value that, when multiplied by itself, gives the original value, is the square root of a number.

For example:

(6)² = 36

Square of 6 is 36 whereas 6 is the square root of 36. Therefore, the concept of the square and square root are opposite.

  • Properties Of A Square Number
  1. Square of any number gives a positive number.
  2. Square of 1 is 1.
  3. Square of 0 is 0.
  4. The Square of a number under the root gives the same number as the number under the root.
  5. For example (√3)² = 3

There are 2 ways to find the square root of a number correctly:

  1. Prime Factorisation Method
  2. Using Long Division Method
  • Squares and Square Roots of Numbers From 1 to 50

Number

Square of Number

Square Root of Number 

1

1

1.000

2

4

1.414

3

9

1.732

4

16

2.000

5

25

2.236

6

36

2.449

7

49

2.646

8

64

2.828

9

81

3.000

10

100

3.162

11

121

3.317

12

144

3.464

13

169

3.606

14

196

3.742

15

225

3.873

16

256

4.000

17

289

4.123

18

324

4.243

19

361

4.359

20

400

4.472

21

441

4.583

22

484

4.690

23

529

4.796

24

576

4.899

25

625

5.000

26

676

5.099

27

729

5.196

28

784

5.292

29

841

5.385

30

900

5.477

31

961

5.568

32

1,024

5.657

33

1,089

5.745

34

1,156

5.831

35

1,225

5.916

36

1,296

6.000

37

1,369

6.083

38

1,444

6.164

39

1,521

6.245

40

1,600

6.325

41

1,681

6.403

42

1,764

6.481

43

1,849

6.557

44

1,936

6.633

45

2,025

6.708

46

2,116

6.782

47

2,209

6.856

48

2,304

6.928

49

2,401

7.000

50

2,500

7.071

  • Perfect and Imperfect Square
  1. Perfect Square: If a whole number is multiplied by itself to generate a given number, it is said to be a Perfect square.

    Example:

    25−−√=5×5−−−−√=5
  2. Imperfect square: If a whole number is not multiplied to generate a given number, it is an imperfect square.

    Example:

    13−−√=3.606
  • In between Squares

Suppose the 2 consecutive squares are n² and (n+1)², then the number between them is 2n.

For example:

Find the numbers between 2² and 3².

2² = 4

3² = 9

And, n = 2

Therefore, the total numbers between 4 and 9 = 2n = 4

Therefore, the numbers are 5, 6, 7, 8.

  • Pythagorean Triplet

3 positive integers a, b, c which satisfies this Pythagoras theorem a²+b²=c² is called the Pythagorean Triplet and the positive integers are called Pythagorean triples.

Example: (3, 4, 5)

By evaluating we get:

32 + 42 = 52

9 + 16 = 25

Hence, 3, 4, and 5 are the Pythagorean triples.

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